3y-6+y+54=7y+50-5y

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Solution for 3y-6+y+54=7y+50-5y equation:


Simplifying
3y + -6 + y + 54 = 7y + 50 + -5y

Reorder the terms:
-6 + 54 + 3y + y = 7y + 50 + -5y

Combine like terms: -6 + 54 = 48
48 + 3y + y = 7y + 50 + -5y

Combine like terms: 3y + y = 4y
48 + 4y = 7y + 50 + -5y

Reorder the terms:
48 + 4y = 50 + 7y + -5y

Combine like terms: 7y + -5y = 2y
48 + 4y = 50 + 2y

Solving
48 + 4y = 50 + 2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2y' to each side of the equation.
48 + 4y + -2y = 50 + 2y + -2y

Combine like terms: 4y + -2y = 2y
48 + 2y = 50 + 2y + -2y

Combine like terms: 2y + -2y = 0
48 + 2y = 50 + 0
48 + 2y = 50

Add '-48' to each side of the equation.
48 + -48 + 2y = 50 + -48

Combine like terms: 48 + -48 = 0
0 + 2y = 50 + -48
2y = 50 + -48

Combine like terms: 50 + -48 = 2
2y = 2

Divide each side by '2'.
y = 1

Simplifying
y = 1

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